Stability and l1-gain analysis for positive 2-D Markov jump systems

被引：15

作者：

Chen, Yong ^{[1
]}

Zhao, Chang ^{[1
]}

Lam, James ^{[1
]}

Cui, Yukang ^{[1
,2
]}

Kwok, Ka-Wai ^{[1
]}

机构：

[1] Univ Hong Kong, Dept Mech Engn, Hong Kong, Peoples R China

[2] Shenzhen Univ, Coll Mechatron & Control Engn, Shenzhen, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2019年 / 50卷 / 11期

关键词：

2-dimensional systems; l(1)-gain; Markov jump systems; positive systems; stability analysis; LINEAR-SYSTEMS; 2-DIMENSIONAL SYSTEMS; CONTROLLER SYNTHESIS; SWITCHED SYSTEMS; FUZZY-SYSTEMS; STABILIZATION; PERFORMANCE; L-1-GAIN; DESIGN; H-2;

D O I：

10.1080/00207721.2019.1645229

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the problems of stability and -gain analysis for positive 2-dimensional (2-D) Markov jump systems. The mathematical model of 2-D Markov jump systems is established based on the Roesser model. Necessary and sufficient condition for stability and sufficient condition for -gain computation are derived. Furthermore, the stability and -gain conditions are extended to Markov jump systems with partially known transition probabilities. The effectiveness of the obtained theoretical findings is verified through two numerical examples.

引用

页码：2077 / 2087

页数：11

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